Facets Of Combinatorial Optimization

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Facets of Combinatorial Optimization

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3642381898
Total Pages : 506 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Facets of Combinatorial Optimization by : Michael Jünger

Download or read book Facets of Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2013-07-03 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel’s doctoral descendant tree 1983–2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren and 2 great-great-grandchildren, a total of 139 doctoral descendants. This book starts with a personal tribute to Martin Grötschel by the editors (Part I), a contribution by his very special “predecessor” Manfred Padberg on “Facets and Rank of Integer Polyhedra” (Part II), and the doctoral descendant tree 1983–2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, super classes of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed integer linear optimization, the first by scientists working in industry, the second by scientists working in academia. These articles reflect the “scientific facets” of Martin Grötschel who has set standards in theory, computation and applications.

Combinatorial Optimization

Author : Pierre Fouilhoux
Publisher : Springer
ISBN 13 : 3319091743
Total Pages : 462 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Combinatorial Optimization by : Pierre Fouilhoux

Download or read book Combinatorial Optimization written by Pierre Fouilhoux and published by Springer. This book was released on 2014-07-21 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Third International Symposium on Combinatorial Optimization, ISCO 2014, held in Lisbon, Portugal, in March 2014. The 37 revised full papers presented together with 64 short papers were carefully reviewed and selected from 97 submissions. They present original research on all aspects of combinatorial optimization, such as algorithms and complexity; mathematical programming; operations research; stochastic optimization; graphs and combinatorics.

Combinatorial Optimization

Author : Raffaele Cerulli
Publisher : Springer
ISBN 13 : 3319455877
Total Pages : 452 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Combinatorial Optimization by : Raffaele Cerulli

Download or read book Combinatorial Optimization written by Raffaele Cerulli and published by Springer. This book was released on 2016-09-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Symposium on Combinatorial Optimization, ISCO 2016, held in Vietri sul Mare, Italy, in May 2016. The 38 revised full papers presented in this book were carefully reviewed and selected from 98 submissions. They present original research on all aspects of combinatorial optimization, such as algorithms and complexity; mathematical programming; operations research; stochastic optimization; and graphs and combinatorics.

Progress in Combinatorial Optimization

Author : William R. Pulleyblank
Publisher : Academic Press
ISBN 13 : 148326453X
Total Pages : 386 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Progress in Combinatorial Optimization by : William R. Pulleyblank

Download or read book Progress in Combinatorial Optimization written by William R. Pulleyblank and published by Academic Press. This book was released on 2014-05-10 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Combinatorial Optimization provides information pertinent to the fundamental aspects of combinatorial optimization. This book discusses how to determine whether or not a particular structure exists. Organized into 21 chapters, this book begins with an overview of a polar characterization of facets of polyhedra obtained by lifting facets of lower dimensional polyhedra. This text then discusses how to obtain bounds on the value of the objective in a graph partitioning problem in terms of spectral information about the graph. Other chapters consider the notion of a triangulation of an oriented matroid and show that oriented matroid triangulation yield triangulations of the underlying polytopes. This book discusses as well the selected results and problems on perfect ad imperfect graphs. The final chapter deals with the weighted parity problem for gammoids, which can be reduced to the weighted graphic matching problem. This book is a valuable resource for mathematicians and research workers.

Combinatorial Optimization

Author : Nicos Christofides
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Combinatorial Optimization by : Nicos Christofides

Download or read book Combinatorial Optimization written by Nicos Christofides and published by John Wiley & Sons. This book was released on 1979 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming and Combinatorial Optimization

Author : Jon Lee
Publisher : Springer
ISBN 13 : 3319075578
Total Pages : 418 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Jon Lee

Download or read book Integer Programming and Combinatorial Optimization written by Jon Lee and published by Springer. This book was released on 2014-05-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2014, held in Bonn, Germany, in June 2014. The 34 full papers presented were carefully reviewed and selected from 143 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Integer and Combinatorial Optimization

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
ISBN 13 : 1118626869
Total Pages : 782 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Integer and Combinatorial Optimization by : Laurence A. Wolsey

Download or read book Integer and Combinatorial Optimization written by Laurence A. Wolsey and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima "A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews "This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society "This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London Also of interest . . . INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp.

Combinatorial Optimization

Author : B. N. Waphare
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195600
Total Pages : 244 pages
Book Rating : 4.1/5 (956 download)

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Book Synopsis Combinatorial Optimization by : B. N. Waphare

Download or read book Combinatorial Optimization written by B. N. Waphare and published by Alpha Science Int'l Ltd.. This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed papers presented at a national workshop held at Dept.of Mathematics, University of Pune.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 1475730233
Total Pages : 650 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

Combinatorial Optimization

Author : A. Ridha Mahjoub
Publisher : Springer
ISBN 13 : 364232147X
Total Pages : 476 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Combinatorial Optimization by : A. Ridha Mahjoub

Download or read book Combinatorial Optimization written by A. Ridha Mahjoub and published by Springer. This book was released on 2012-07-05 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Second International Symposium on Combinatorial Optimization, ISCO 2012, held in Athens, Greece, in April 2012. The 37 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 94 regular and 30 short submissions. They present original research on all aspects of combinatorial optimization, ranging from mathematical foundations and theory of algorithms to computational studies and practical applications.

Combinatorial Optimization

Author : Rita Malhotra
Publisher :
ISBN 13 : 9788173198151
Total Pages : 0 pages
Book Rating : 4.1/5 (981 download)

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Book Synopsis Combinatorial Optimization by : Rita Malhotra

Download or read book Combinatorial Optimization written by Rita Malhotra and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initiating new avenues for research in the field of allocation problems, this volume successfully comprises research-level linear and combinatorial problems together with algorithms and solution-procedures to solve them. The two significant classes of problems; Transportation and Assignment Problems are discussed in detail.

Computational Combinatorial Optimization

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540428771
Total Pages : 317 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Combinatorial Optimization by : Michael Jünger

Download or read book Computational Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2001-11-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.

Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization

Author : Levent Tunçel
Publisher : American Mathematical Soc.
ISBN 13 : 1470428113
Total Pages : 219 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization by : Levent Tunçel

Download or read book Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization written by Levent Tunçel and published by American Mathematical Soc.. This book was released on 2016-05-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 1960s, polyhedral methods have played a central role in both the theory and practice of combinatorial optimization. Since the early 1990s, a new technique, semidefinite programming, has been increasingly applied to some combinatorial optimization problems. The semidefinite programming problem is the problem of optimizing a linear function of matrix variables, subject to finitely many linear inequalities and the positive semidefiniteness condition on some of the matrix variables. On certain problems, such as maximum cut, maximum satisfiability, maximum stable set and geometric representations of graphs, semidefinite programming techniques yield important new results. This monograph provides the necessary background to work with semidefinite optimization techniques, usually by drawing parallels to the development of polyhedral techniques and with a special focus on combinatorial optimization, graph theory and lift-and-project methods. It allows the reader to rigorously develop the necessary knowledge, tools and skills to work in the area that is at the intersection of combinatorial optimization and semidefinite optimization. A solid background in mathematics at the undergraduate level and some exposure to linear optimization are required. Some familiarity with computational complexity theory and the analysis of algorithms would be helpful. Readers with these prerequisites will appreciate the important open problems and exciting new directions as well as new connections to other areas in mathematical sciences that the book provides.

Integer Programming and Combinatorial Optimization

Author : Friedrich Eisenbrand
Publisher : Springer
ISBN 13 : 3319592505
Total Pages : 456 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Friedrich Eisenbrand

Download or read book Integer Programming and Combinatorial Optimization written by Friedrich Eisenbrand and published by Springer. This book was released on 2017-06-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2017, held in Waterloo, IN, Canada, in June 2017. The 36 full papers presented were carefully reviewed and selected from 125 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Combinatorial Optimization

Author : Bernhard Korte
Publisher : Springer Science & Business Media
ISBN 13 : 3540292977
Total Pages : 596 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Combinatorial Optimization by : Bernhard Korte

Download or read book Combinatorial Optimization written by Bernhard Korte and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

The Linear Ordering Problem

Author : Rafael Martí
Publisher : Springer Science & Business Media
ISBN 13 : 3642167292
Total Pages : 172 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Linear Ordering Problem by : Rafael Martí

Download or read book The Linear Ordering Problem written by Rafael Martí and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.